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2. a) John is 3 years older than his brother Brian, the product of their ages...
and z2 = 1 1 + 3i 3-i a) Given that zı = find z such...
and z2 = 1 1 + 3i 3-i a) Given that zı = find z such that z = 2 + i 4- ¿ 22 Give your answer in the form of a + bi. Hence, find the modulus and argument of z, such that -- < arg(2) < 7. (6 marks) b) Given w = = -32, i. express w in polar form. (1 marks) ii. find all the roots of 2b = -32 in the form of a...
1. Twins Carey and Corey were born 3 years after their older sister, Mary. In 2016,...
1. Twins Carey and Corey were born 3 years after their older sister, Mary. In 2016, the product of all three of Carey, Corey and Mary's ages is 3287 years greater than the sum total of all three ages. How old are the twins? 2. a) Use long division to divide –x3 - 2x2 - 1 by x - 1. Express the result in quotient form. b) Write the corresponding statement that can be used to check the division 3....
The following data give information on the ages (in years) and the number of breakdowns during...
The following data give information on the ages (in years) and the number of breakdowns during the past month for a sample of machines at a large company. Age(years) 1 4 6 10 12 15 19 Number of CO 1 1 3 5 5 9 breakdowns Find the least squares regression line equation in form y = a + bx .Use "Age” as the independent variable and ”Number of breakdowns” as the dependent variable. Round your answers to two decimal...
16) Convert to a logarithmic equation: 20° = 400 (2 marks) 17) Convert to an exponential...
16) Convert to a logarithmic equation: 20° = 400 (2 marks) 17) Convert to an exponential equation: b=log, 243 (2 marks) 18) Find: log, 1 (2 marks) 19) Find the common logarithm, to four decimal places, using a calculator: log 0.2114 (1 mark) 20) The pH of a substance is 5.2. Find the hydrogen ion concentration in moles per litre (Use pH = -log[H]. Express the answer in scientific notation.) (5 marks) 21) Sixteen plus three times a number is...
7 marks (4 marks) (3 marks) (a) Is the operator P(v) y'+2ty linear? (Show workings) (b) Find the ...
please answer question 1) to 3) fully step by step
7 marks (4 marks) (3 marks) (a) Is the operator P(v) y'+2ty linear? (Show workings) (b) Find the null space of the operator in (a) above. Question 2 5 marks Let P be a linear operator. Suppose that y is a particular solution to the equation Ply) = b. Prove that any solution to this equation can be written as y = Yo + yi for yo au clement of...
Would someone help me with the last 3 questions here, I got the previous ones but need help with the last 3 in red. Than...
Would someone help me with the
last 3 questions here, I got the previous ones but need help with
the last 3 in red. Thank you
Transcribed:
Now that you nd a rst order system of ODEs, you can solve it
using the Huens method ac-
cording to the material you covered in computational module 2. A
template of the code which
will help you to get started is also available. Attach the complete
code as a pdf page to...
5) (10 pts) John is baby-sitting Casey, his 3-year old brother. He puts a crash helmet...
5) (10 pts) John is baby-sitting Casey, his 3-year old brother. He puts a crash helmet on Casey, places him in the red wagon and takes him on a stroll through the neighborhood. As John starts across the street, he exerts a 58 N forward force on the wagon. There is a 20 N resistance force (friction) and the wagon and Casey have a combined weight of 302 N. Construct a free body diagram showing all the forces acting upon...
(a) Given the equation of a coule section as:
(a) Given the equation of a coule section as: 9x2 + 25y2 - 36x - 150y +36 = 0. (i) Express the equntion in standard form. (ii) Determine the center, foci, vertics and directrices of the comic and hence, sketch its graph slowing all the information.(b) Let Q(0,3) and R(0,-3) (i) Determine the low of points P such that |QP|=2|RP| (ii) Shaw that the locus is a circle and find its center and radiis. (iii) Find the equation of the tangent to the circle at the...
3. Consider the following system of linear equations: 2.0 + 2y + 2kz = 2 kx...
3. Consider the following system of linear equations: 2.0 + 2y + 2kz = 2 kx + ky+z=1 2x + 3y + 72 = 4 (i) Turn the system into row echelon form. (ii) Determine which values of k give (i) a unique solution (ii) infinitely many solutions and (iii) no solutions. Show your working. 4. Solve the following system of linear equations using Gauss-Jordan elimination: x1 + x2 - 2.13 + 24 +3.25 = 1 2.x1 - x2 +...
i cant seem to figure out 6.16 Diophantus passed à of his life in childhood, in...
i cant seem to figure out 6.16
Diophantus passed à of his life in childhood, in youth, and more as a bachelor. Five years after his marriage was born a son who died 4 before his father, at his father's [final] age."How old was years Diophantus when he died? (b) Solve the following problem, which appears in Diophantus' Arithmetica (Problem 17, Book I): Find 4 numbers, the sum of every arrangement 3 at a time being given; say, 22, 24,...
and z2 = 1 1 + 3i 3-i a) Given that zı = find z such that z = 2 + i 4- ¿ 22 Give your answer in the form of a + bi. Hence, find the modulus and argument of z, such that -- < arg(2) < 7. (6 marks) b) Given w = = -32, i. express w in polar form. (1 marks) ii. find all the roots of 2b = -32 in the form of a...
1. Twins Carey and Corey were born 3 years after their older sister, Mary. In 2016, the product of all three of Carey, Corey and Mary's ages is 3287 years greater than the sum total of all three ages. How old are the twins? 2. a) Use long division to divide –x3 - 2x2 - 1 by x - 1. Express the result in quotient form. b) Write the corresponding statement that can be used to check the division 3....
The following data give information on the ages (in years) and the number of breakdowns during the past month for a sample of machines at a large company. Age(years) 1 4 6 10 12 15 19 Number of CO 1 1 3 5 5 9 breakdowns Find the least squares regression line equation in form y = a + bx .Use "Age” as the independent variable and ”Number of breakdowns” as the dependent variable. Round your answers to two decimal...
16) Convert to a logarithmic equation: 20° = 400 (2 marks) 17) Convert to an exponential equation: b=log, 243 (2 marks) 18) Find: log, 1 (2 marks) 19) Find the common logarithm, to four decimal places, using a calculator: log 0.2114 (1 mark) 20) The pH of a substance is 5.2. Find the hydrogen ion concentration in moles per litre (Use pH = -log[H]. Express the answer in scientific notation.) (5 marks) 21) Sixteen plus three times a number is...
please answer question 1) to 3) fully step by step
7 marks (4 marks) (3 marks) (a) Is the operator P(v) y'+2ty linear? (Show workings) (b) Find the null space of the operator in (a) above. Question 2 5 marks Let P be a linear operator. Suppose that y is a particular solution to the equation Ply) = b. Prove that any solution to this equation can be written as y = Yo + yi for yo au clement of...
Would someone help me with the
last 3 questions here, I got the previous ones but need help with
the last 3 in red. Thank you
Transcribed:
Now that you nd a rst order system of ODEs, you can solve it
using the Huens method ac-
cording to the material you covered in computational module 2. A
template of the code which
will help you to get started is also available. Attach the complete
code as a pdf page to...
5) (10 pts) John is baby-sitting Casey, his 3-year old brother. He puts a crash helmet on Casey, places him in the red wagon and takes him on a stroll through the neighborhood. As John starts across the street, he exerts a 58 N forward force on the wagon. There is a 20 N resistance force (friction) and the wagon and Casey have a combined weight of 302 N. Construct a free body diagram showing all the forces acting upon...
3. Consider the following system of linear equations: 2.0 + 2y + 2kz = 2 kx + ky+z=1 2x + 3y + 72 = 4 (i) Turn the system into row echelon form. (ii) Determine which values of k give (i) a unique solution (ii) infinitely many solutions and (iii) no solutions. Show your working. 4. Solve the following system of linear equations using Gauss-Jordan elimination: x1 + x2 - 2.13 + 24 +3.25 = 1 2.x1 - x2 +...
i cant seem to figure out 6.16
Diophantus passed à of his life in childhood, in youth, and more as a bachelor. Five years after his marriage was born a son who died 4 before his father, at his father's [final] age."How old was years Diophantus when he died? (b) Solve the following problem, which appears in Diophantus' Arithmetica (Problem 17, Book I): Find 4 numbers, the sum of every arrangement 3 at a time being given; say, 22, 24,...
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